Rectangles - Same Perimeter & Different Area Worksheet Download
Free 3rd Grade (3md8) math worksheets on Rectangles - Same Perimeter & Different Area. Each worksheet has 5 problems with an answer key and are ideal for teachers and homeschooling. You can download the PDF, create a set of flash cards or set it up for online learning.
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About this worksheet
Each worksheet has 5 problems creating a rectangle with the same area, but a different perimeter.
This worksheet is designed to challenge children's mathematical understanding, focusing on the concept of rectangle dimensions affecting area while the perimeter remains constant. By offering five distinct problems featuring rectangles with dimensions like 1×9, 1×4, and 4×5, it prompts creative problem-solving and critical thinking. This flexible resource can be customized to meet individual needs, converted into flashcards for review, or utilized effectively in distance learning environments, accommodating diverse learning styles and teaching methods.
Student objectives
- Find the area of a rectangle by multiplying length × width.
- Find the perimeter of a rectangle by adding all the side lengths.
- Create different rectangles that have the same area by using different factor pairs.
- Compare rectangles to see how changing the side lengths can change the perimeter even when the area stays the same.
Everyday practice
- Planning a rectangular garden bed with a set number of square feet but different options for how much edging you need.
- Choosing the dimensions of a dog pen or play area when you have a fixed amount of space but want to use the least fencing.
- Designing a poster or photo collage with a fixed number of square tiles and seeing which layout needs more border trim.
- Building something with LEGO plates where the same number of studs can make different rectangles with different outside edges.